Finding the Third Proportional to 31,887 and 74,101.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,887 : 74,101.50 = 74,101.50 : x
2. Step 2: Convert to fraction form
   31,887/74,101.50 = 74,101.50/x
3. Step 3: Cross multiply
   31,887x = 74,101.50 × 74,101.50
4. Step 4: Simplify right side
   31,887x = 5,491,032,302.25
5. Step 5: Solve for x
   x = 5,491,032,302.25/31,887
6. Step 6: Final answer
   x = 172,202.85